Atkin-Lehner |
2- 3- 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110bt |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-176275043100 = -1 · 22 · 39 · 52 · 13 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1147,-13863] |
[a1,a2,a3,a4,a6] |
Generators |
[94:219:8] |
Generators of the group modulo torsion |
j |
229108583159/241803900 |
j-invariant |
L |
10.234456637723 |
L(r)(E,1)/r! |
Ω |
0.54974182325779 |
Real period |
R |
2.3271052457197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370g1 |
Quadratic twists by: -3 |